Page 6 - Linear Models for the Prediction of Animal Breeding Values 3rd Edition

3.3.1. Constructing the mixed model equations 38
3.3.2. Progeny (daughter) yield deviation 42
3.3.3. Accuracy of evaluations 44
3.4. A Sire Model 46
3.4.1. An illustration 46
3.5. Reduced Animal Model 49
3.5.1. Defining the model 49
3.5.2. An illustration 51
3.5.3. An alternative approach 54
3.6. Animal Model with Groups 54
3.6.1. An illustration 56

4. Best Linear Unbiased Prediction of Breeding Value:
Models with Random Environmental Effects 61
4.1. Introduction 61
4.2. Repeatability Model 61
4.2.1. Defining the model 62
4.2.2. An illustration 62
4.2.3. Calculating daughter yield deviations 66
4.3. Model with Common Environmental Effects 66
4.3.1. Defining the model 67
4.3.2. An illustration 67

5. Best Linear Unbiased Prediction of Breeding Value:
Multivariate Animal Models 70
5.1. Introduction 70
5.2. Equal Design Matrices and No Missing Records 71
5.2.1. Defining the model 71
5.2.2. An illustration 72
5.2.3. Partitioning animal evaluations from multivariate analysis 74
5.2.4. Accuracy of multivariate evaluations 76
5.2.5. Calculating daughter yield deviations in multivariate models 77
5.3. Equal Design Matrices with Missing Records 78
5.3.1. An illustration 78
5.4. Unequal Design Matrices 80
5.4.1. Numerical example 80
5.4.2. Illustrating the computation of DYD
from a multivariate model 82
5.5. Multivariate Models with No Environmental Covariance 84
5.5.1. Different traits recorded on relatives 84
5.5.2. The multi-trait across-country evaluations (MACE) 86

6. Methods to Reduce the Dimension of Multivariate Models 95
6.1. Introduction 95
6.2. Canonical Transformation 95
6.2.1. The model 96
6.2.2. An illustration 97

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